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Finding the Fourth Proportional to 5,404.50, 7,461.46 and 3,544.74

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Solution

The fourth proportional to 5,404.50, 7,461.46 and 3,544.74 is: 4,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.50 : 7,461.46 = 3,544.74 : x
  2. Step 2: Convert to fraction form
    5,404.50/7,461.46 = 3,544.74/x
  3. Step 3: Cross multiply
    5,404.50x = 7,461.46 × 3,544.74
  4. Step 4: Simplify right side
    5,404.50x = 26,448,935.72
  5. Step 5: Solve for x
    x = 26,448,935.72/5,404.50
  6. Step 6: Final answer
    x = 4,893.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.